IV 



Table IV. — Tangents and Externals to a 1° Curve. 



Angle 



Tangent 



81° 



10' 

 20 

 30 

 40 

 50 



32 



10 

 20 

 30 

 40 

 50 



33 



10 



20 

 30 

 40 

 50 



34 



10 

 20 

 30 

 40 

 50 



35 



10 

 20 

 30 

 40 

 50 



10 



20 

 30 

 40 

 50 



37 



10 

 20 

 33 

 40 

 50 



38 



10 

 20 

 30 

 40 

 50 



39 



External 



Angle 



10 

 20 

 30 

 40 

 50 



40 



10 



20 

 30 

 40 

 50 



1589.0 

 1598.0 

 1606.9 

 1615.9 

 1624.9 

 1633.9 



1643.0 

 1652.0 

 1661.0 

 1670.0 

 1679.1 

 1688.1 



1697.2 

 1706.3 

 1715.3 

 1724.4 

 1733.5 

 1742.6 



1751.7 

 1760.8 

 1770.0 

 1779.1 

 1788.2 

 1797.4 



1806.6 

 1815.7 

 1824.9 

 1834.1 

 1843.3 

 1852.5 



1861.7 

 1870.9 

 1880.1 

 1889.4 

 1898.6 

 1907.9 



1917.1 

 1926.4 

 1935.7 

 1945.0 

 1954.3 

 1963.6 



1972.9 

 1982.2 

 1991.5 

 2000.9 

 2010.2 

 2019.6 



2029.0 

 2038.4 

 2047.8 

 2057.2 

 2066.6 

 2076.0 



2085.4 

 2094.9 

 2104.3 

 2113.8 

 2123.3 

 2132.7 



216.3 

 218.7 

 221.1 

 223.5 

 226.0 

 228.4 



230.9 

 233.4 

 235.9 

 238.4 

 241.0 

 243.5 



246.1 

 248.7 

 251.3 

 253.9 

 256.5 

 259.1 



261.8 

 264.5 

 267.2 

 269.9 

 272.6 

 275.3 



278.1 

 280.8 

 283.6 

 286.4 

 289.2 

 292.0 



294.9 

 297.7 

 300.6 

 303.5 

 306.4 

 309.3 



312.2 

 315.2 

 318.1 

 321.1 

 324.1 

 327.1 



330.2 

 333.2 

 336.3 

 339.3 

 342.4 

 345.5 



348.6 

 351.8 

 354.9 

 358.1 

 361.3 

 364.5 



367.7 

 371.0 

 374.2 

 377.5 

 380.8 

 384.1 



41° 



10' 



20 

 30 

 40 

 50 



42 



10 



20 

 30 

 40 

 50 



43 



10 



20 

 30 

 40 

 50 



44 



10 



20 

 30 

 40 

 50 



45 



10 



20 

 30 

 40 

 50 



46 



10 



20 

 30 

 40 

 50 



47 



10 



20 

 30 

 40 

 50 



48 



49 



Tangent 



External 



Angle 



Tangent 



External 



10 



20 

 30 

 40 

 50 



50 



2142.2 

 2151.7 

 2161.2 

 2170.8 

 2180.3 

 2189.9 



2199.4 

 2209 . 0 

 2218.6 

 2228.1 

 2237.7 

 2247.3 



2257.0 

 2266.6 

 2276.2 

 2285.9 

 2295.6 

 2305.2 



2314.9 

 2324.6 

 2334.3 

 2344.1 

 2353.8 

 2363.5 



2373.3 

 2383.1 

 2392.8 

 2402 . 6 

 2412.4 

 2422.3 



2432.1 

 2441.9 

 2451.8 

 2461.7 

 2471.5 

 2481.4 



2491.3 

 2501 . 2 

 2511.2 

 2521.1 

 2531.1 

 2541.0 



2551.0 

 2561.0 

 2571.0 

 2581 . 0 

 2591.0 

 2601.1 



387.4 

 390.7 

 394.1 

 397.4 

 400.8 

 404.2 



407.6 

 411.1 

 414.5 

 418.0 

 421.4 

 425.0 



428.5 

 432.0 

 435.6 

 439.2 

 442.8 

 446.4 



450.0 

 453.6 

 457.3 

 461.0 

 464.6 

 468.4 



472.1 



475.8 

 479.6 

 483.8 

 487.2 

 491.0 



494.8 

 498.7 

 502.5 

 506.4 

 510.3 

 514.3 



518.2 

 522.2 

 526.1 

 530.1 

 534.2 

 538.2 



542.2 

 546.3 

 550.4 

 554.5 

 558.6 

 562.8 





2611.2 



566.9 



10 



2621 . 2 



571.1 



20 



2631.3 



575.3 



30 



2641.4 



579.5 



40 



2651.5 



583.8 



50 



2661.6 



588.0 





2671.8 



592.3 



10 



2681.9 



596.6 



20 



2692.1 



600.9 



30 



2702.3 



605.3 



40 



2712.5 



609.6 



50 



2722.7 



614.0 



51° 



10' 

 20 

 30 

 40 

 50 



52 



10 



20 

 30 

 40 

 50 



53 



10 



20 

 30 

 40 

 50 



54 



10 



20 

 30 

 40 

 50 



55 



10 



20 

 30 

 40 

 50 



56 



10 



20 

 30 

 40 

 50 



57 



10 

 20 

 30 

 40 

 50 



58 



10 



20 

 30 

 40 

 50 



59 



10 



20 

 30 

 40 

 50 



60 



10 



20 

 30 

 40 

 50 



2732.9 

 2743.1 

 2753.4 

 2763.7 

 2773.9 

 2784.2 



2794.5 

 2804.9 

 2815.2 

 2825.6 

 2835.9 

 2846.3 



2856.7 

 2867.1 

 2877.5 

 2888.0 

 2898.4 

 2908.9 



2919.4 

 2929.9 

 2940.4 

 2951.0 

 2961.5 

 2972.1 



618.4 

 622.8 

 627.2 

 631.7 

 636.2 

 640.7 



645.2 

 649.7 

 654.3 

 658.8 

 663.4 

 668.0 



672.7 

 677.3 

 682.0 

 686.7 

 691.4 

 696.1 



700.9 

 705.7 

 710.5 

 715.3 

 720.1 

 725.0 



2982. 7 



/ zy . y 



2993.3 



734.8 



3003.9 



739.7 



3014.5 



744.6 



3025.2 



749.6 



3035.8 



754.6 



3046.5 



759.6 



3057.2 



764.6 



3067.9 



769.7 



3078.7 



774.7 



3089 . 4 



779.8 



3100.2 



784.9 



3110.9 



790.1 



3121.7 



795.2 



3132.6 



800.4 



3143.4 



805.6 



3154.2 



810.9 



3165.1 



816.1 



3176.0 



821.4 



3186.9 



826.7 



3197.8 



832.0 



3208.8 



837.3 



3219.7 



842.7 



3230.7 



848.1 



3241.7 



853.5 



3252.7 



858.9 



3263.7 



864.3 



3274.8 



869.8 



3285.8 



875.3 



3296.9 



880.8 



3308.0 



886.4 



3319.1 



892.0 



3330.3 



897.5 



3341.4 



903.2 



3352.6 



908.8 



3363.8 



914.5 



It 



Table IV. ■ — Tangents and Externals to a 1° Curve. 



Angle 



61° 



62 



63 



64 



65 



66 



67 



68 



69 



70 



Tangent 



External 



Angle 



Tangent 



External 



Angle 



Tangent 



External 





3375 . 0 



920.2 



71° 





4086.9 



1308. 2 



OHO 



81 





4893. 



6 



loUo . O 



10' 



3386.3 



925.9 





10' 



4099. 



5 



1315.6 





10' 



4908. 



0 



1814.7 



20 



3397.5 



931.6 





20 



4112. 



1 



1322.9 





20 



4922. 



5 



1824.1 



30 



3408.8 



937.3 





30 



4124. 



8 



1330.3 





30 



4937. 



0 



1833.6 



40 



3420.1 



943.1 





40 



4137. 



4 



1337.7 





40 



4951 . 



5 



1843.1 



50 



3431.4 



948.9 





50 



4150.1 



1345.1 





50 



4966. 



1 



1852.6 





3442.7 



954. 8 



72 





4162. 



8 



1 O CO CI 



135z . 6 







.4980. 



7 



loUZ . & 



10 



3454.1 



960.6 





10 



4175. 



6 



1360.1 





10 



4995.4 



1871.8 



20 



3465.4 



966.5 





20 



4188. 



5 



1367.6 





20 



5010. 



0 



1881.5 



30 



3476.8 



972.4 





30 



4201. 



2 



1375.2 





30 



5024. 



8 



1891.2 



40 



3488.3 



978.3 





40 



4214. 



0 



1382.8 





40 



5039. 



5 



1900.9 



50 



3499.7 



984.3 





50 



4226. 



8 



1390.4 





50 



5054. 



3 



1910.7 





3511. 1 



990.2 



73 





4239. 



7 



1398. 0 



83 





5069. 



2 



1 yzu . o 



10 



3522.6 



996.2 





10 



4252. 



6 



1405.7 





10 



5084. 



0 



1930.4 



20 



3534. 1 



1002.3 





20 



4265. 



6 



1413.5 





20 



5099. 



0 



1940. c 



30 



3545.6 



1008.3 





30 



4278. 



5 



1421.2 





30 



5113. 



9 



1950.3 



40 



3557 . 2 



1014.4 





40 



4291. 



5 



1429.0 





40 



5128. 



9 



1960.2 



50 



3568 . 7 



1020.5 





50 



4304. 



6 



1436.8 





50 



5143.9 



1970.3 





3580.3 



1026.6 



74 





4317. 



6 



1 A 4 ,4 f* 



1444 . 6 



O M 



84 





5159. 



0 



lyoU . 4 



10 



3591.9 . 



1032.8 





10 



4330. 



7 



1452.5 





10 



5174. 



1 



1990.5 



20 



3603 . 5 



1039.0 





20 



4343. 



8 



1460.4 





20 



5189 



3 



2000.6 



30 



3615.1 



1045.2 





30 



4356. 



9 



1468.4 





30 



5204 



4 



2010.8 



40 



3626 . 8 



1051.4 





40 



4370. 



1 



1476.4 





40 



5219 



7 



2021.1 



50 



3638 . 5 



1057.7 





50 



4383. 



3 



1484.4 





50 



5234 



9 



2031.4 





3650.2 



1063.9 



75 





4396. 



5 



1492.4 



85 





5250.3 



Of\ A 1 If 



zu41 . 7 



10 



3661.9 



1070.2 





10 



4409 



8 



1500.5 





10 



5265 



6 



2052.1 



20 



3673 . 7 



1076.6 





20 



4423 



1 



1508.6 





20 



5281 



0 



2062.5 



30 



3685.4 



1082.9 





30 



4436 



4 



1516.7 





30 



5296 



4 



2073.0 



40 



3697 . 2 



1089 . 3 





40 



4449 



7 



1524.9 





40 



5311 



9 



2083 . 5 



50 



3709 . 0 



1095.7 





50 



4.463 



1 



1533.1 





50 



5327 



4 



2094.1 





3720 . 9 



1102.2 



76 





4476 



5 



1541 .4 



8b 





5343 



0 



Z1U4 . 7 



10 



3732 . 7 



1108.6 





10 



4489 



9 



1549.7 





10 



5358 



6 



2115.3 



20 



3744 . 6 



1115. 1 





20 



4503 



4 



1558.0 





20 



5374 



2 



2126.0 



30 



3756.5 



1121.7 





30 



4516 



9 



1566.3 





30 



5389 



9 



2136.7 



40 



3768.5 



1128.2 





40 



4530.4 



1574.7 





40 



5405 



.6 



2147.5 



50 



3780 . 4 



1134.8 





50 



4544 



0 



1583.1 





50 



5421 



.4 



2158.4 





3792 . 4 



1141. 4 



77 





4557 



6 



1591 . 6 



87 





5437 



.2 



zlb9 . 2 



10 



3804 . 4 



1148.0 





10 



4571 



.2 



1600.1 





10 



5453 



. 1 



2180.2 



20 



3816.4 



1154.7 





20 



4584 



.8 



1608.6 





20 



5469 



.0 



2191.1 



30 



3828 . 4 



1161.3 





30 



4598 



.5 



1617.1 





30 



5484 



.9 



2202.2 



40 



3840.5 



1168.1 





40 



4612 



.2 



1625.7 





40 



5500 



.9 



2213.2 



50 



3852 . 6 



1174.8 





50 



4626 



.0 



1634.4 





50 



5517 



.0 



2224.3 





3864 . 7 



1181 .6 



78 





4639 



.8 



1643 . 0 



DO 



88 





5533 



.1 



ZZoo. O 



10 



3876.8 



1188.4 





10 



4653 



.6 



1651.7 





10 



5549 



.2 



2246.7 



20 



3889 . 0 



1195.2 





20 



4667 



.4 



1660.5 





20 



5565.4 



2258.0 



30 



3901 . 2 



1202.0 





30 



4681 



.3 



1669.2 





30 



5581 



.6 



2269.3 



40 



3913.4 



1208.9 





40 



4695 



.2 



1678.1 





40 



5597 



.8 



2280.6 



50 



3925.6 



1215.8 





50 



4709 



.2 



1686.9 





50 



5614 



.2 



2292.0 





3937.9 



1222.7 



79 



4723 



.2 



1695.8 



89 





5630 



.5 



2303.5 



10 



3950.2 



1229.7 





10 



4737 



.2 



1704.7 





10 



5646 



.9 



2315.0 



20 



3962.5 



1236.7 





20 



4751 



.2 



1713.7 





20 



5663 



.4 



2326.6 



30 



3974.8 



1243.7 





30 



4765 



.3 



1722.7 





30 



5679 



.9 



2338.2 



40 



3987.2 



1250.8 





40 



4779 



.4 



1731.7 





40 



5696 



.4 



2349 . 8 



50 



3999.5 



1257.9 





50 



4793 



.6 



1740.8 





50 



5713 



.0 



2361.5 



> 



4011.9 



1265.0 



80 



4807 



.7 



1749.9 



90 





5729 



.7 



2373.3 



10 



4024.4 



1272.1 





10 



4822.0 



1759 . 0 





10 



5746.3 



2385.1 



20 



4036.8 



1279.3 





20 



4836 



.2 



1768.2 





20 



5763 



.1 



2397.0 



30 



4049.3 



1286.5 





30 



4850.5 



1777.4 





30 



5779 



.9 



2408.9 



40 



4061 . 8 



1293.6 





40 



4864 



.8 



1786.7 





40 



5796.7 



2420.9 



50 



4074.4 



1300.9 





50 



4879.2 



1796.0 





50 



5813 



.6 



£432.9 



